Results 21 to 30 of about 1,093 (183)
Simplification method for nonlinear equations of monotone type in Banach space
Журнал Средневолжского математического общества, 2021 In a Banach space, we study an operator equation with a monotone operator $T.$ The operator is an operator from a Banach space to its conjugate, and $T=AC,$ where $A$ and $C$ are operators of some classes.
Ryazantseva Irina P.
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International Journal of Differential Equations, 2015 We consider nonlinear impulsive differential equations with ψ-exponential and ψ-ordinary dichotomous linear part in a Banach space. By the help of Banach’s fixed-point principle sufficient conditions are found for the existence of ψ-bounded solutions of
Hristo Kiskinov, Andrey Zahariev
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Solutions of fractional nabla difference equations - existence and uniqueness [PDF]
Opuscula Mathematica, 2016 In this article, we discuss existence, uniqueness and dependency of solutions of nonlinear fractional nabla difference equations in a Banach space equipped with a suitable norm, using the contractive mapping approach. As an application of the established
Jagan Mohan Jonnalagadda
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Оценки разностей решений нелинейных интегральных уравнений в банаховом пространстве [PDF]
Проблемы анализа, 2005 В работе получены оценки разности решений нелинейных интегральных уравнений в пространстве Банаха.In this paper we consider estimations of difference of nonlinear integral equations in Banach space.
Мосягин В. В.
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 Let K be a non-empty closed subset of a Banach space X endowed with a graph G. We obtain fixed point theorems for nonself G-contractions of Chatterjea type.
Balog Laszlo +2 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2011 In this paper, the Mönch fixed point theorem is used to investigate the existence of positive solutions for the second-order boundary value problem with integral boundary conditions of nonlinear impulsive differential equations on an infinite interval in
Xu Chen, Xingqiu Zhang
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On a nonlinear Volterra integrodifferential equation in Banach spaces [PDF]
Mathematical Inequalities & Applications, 2006 The paper deals with the equation: \[ x'(t) = A x(t) + \int_0^t\{ a(t,\, s) f(s,\, x(s)) + g(t,s,x(s))\} ds + f_0(t),\; t\geq 0, \] in a Banach space with graph norm. Here, \(A\) is the infinitesimal generator of a strongly continuous semigroup of bounded linear operators and \(a,\,f,\, g\) and \(f_0\) are continuous functions with some additional ...
Dhakne, M. B., Kendre, S. D.
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Mathematical Methods in the Applied Sciences, EarlyView.The goal of this work is to look at how a nonlinear model describes hematopoiesis and its complexities utilizing commonly used techniques with historical and material links. Based on time delay, the Mackey–Glass model is explored in two instances. To offer a range, the relevance of the parameter impacting stability (bifurcation) is recorded.
Shuai Zhang +5 more
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Abstract and Applied Analysis, 2013 The boundary value problems of a class of th-order nonlinear integrodifferential equations of mixed type in Banach space are considered, and the existence of three solutions is obtained by using the fixed-point index theory.
Yanlai Chen
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
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